2009 | OriginalPaper | Chapter
A Geometric PDE for Interpolation of M-Channel Data
Authors : Frank Lenzen, Otmar Scherzer
Published in: Scale Space and Variational Methods in Computer Vision
Publisher: Springer Berlin Heidelberg
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We propose a partial differential equation to be used for interpolating
M
-channel data, such as digital color images. This equation is derived via a semi-group from a variational regularization method for minimizing displacement errors. For actual image interpolation, the solution of the PDE is projected onto a space of functions satisfying interpolation constraints. A comparison of the test results with standard and state-of-the-art interpolation algorithms shows the competitiveness of this approach.